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Finding the Fourth Proportional to 21,408.66, 32,105.00 and 7,364.71

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Solution

The fourth proportional to 21,408.66, 32,105.00 and 7,364.71 is: 11,044.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,408.66 : 32,105.00 = 7,364.71 : x
  2. Step 2: Convert to fraction form
    21,408.66/32,105.00 = 7,364.71/x
  3. Step 3: Cross multiply
    21,408.66x = 32,105.00 × 7,364.71
  4. Step 4: Simplify right side
    21,408.66x = 236,443,977.73
  5. Step 5: Solve for x
    x = 236,443,977.73/21,408.66
  6. Step 6: Final answer
    x = 11,044.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.